SOLUTION:
Step 1:
In this question, we are given the following:
P(A)= 0.50, P(B) = 0.30, and P(A and B) = 0.15.
What is P(A or B)?
Step 2:
The details of the solution are as follows:
[tex]\begin{gathered} P(\text{ A or B \rparen = P \lparen A U B \rparen = P \lparen A\rparen + P\lparen B\rparen - P \lparen A n B \rparen} \\ Then,\text{ we have that:} \\ P(A\text{ or B \rparen = 0. 50 + 0.30 - 0.15} \\ P(\text{ A or B \rparen = 0.80 - 0.15} \end{gathered}[/tex][tex]P(\text{ A or B \rparen = 0. 65}[/tex]CONCLUSION:
The final answer is:
[tex]P(\text{ A or B \rparen = 0. 65}[/tex]